387396765 has 96 divisors (see below), whose sum is σ = 824518656. Its totient is φ = 164229120.

The previous prime is 387396733. The next prime is 387396767. The reversal of 387396765 is 567693783.

It is not a de Polignac number, because 387396765 - 2⁵ = 387396733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387396767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390420 + ... + 391410.

It is an arithmetic number, because the mean of its divisors is an integer number (8588736).

Almost surely, 2^387396765 is an apocalyptic number.

387396765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

387396765 is an abundant number, since it is smaller than the sum of its proper divisors (437121891).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

387396765 is a wasteful number, since it uses less digits than its factorization.

387396765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1096 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 387396765 is about 19682.3973387390. The cubic root of 387396765 is about 728.9851193991.

The spelling of 387396765 in words is "three hundred eighty-seven million, three hundred ninety-six thousand, seven hundred sixty-five".